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Finding the Fourth Proportional to 186.38, 257.19 and 108.74

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Solution

The fourth proportional to 186.38, 257.19 and 108.74 is: 150.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.38 : 257.19 = 108.74 : x
  2. Step 2: Convert to fraction form
    186.38/257.19 = 108.74/x
  3. Step 3: Cross multiply
    186.38x = 257.19 × 108.74
  4. Step 4: Simplify right side
    186.38x = 27,966.84
  5. Step 5: Solve for x
    x = 27,966.84/186.38
  6. Step 6: Final answer
    x = 150.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.